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Polynomials orthogonal with respect to singular continuous measures

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1329)

Abstract

Let T(z) be a monic polynomial of degree d≥2 chosen so that its Julia set J is real. A class of invariant measures and the orthogonal polynomials associated with these measures are constructed and discussed. In particular, the asymptotic properties of the polynomials and the recurrence formula coefficients is presented.

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© 1988 Springer-Verlag

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Geronimo, J.S. (1988). Polynomials orthogonal with respect to singular continuous measures. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083352

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  • DOI: https://doi.org/10.1007/BFb0083352

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19489-7

  • Online ISBN: 978-3-540-39295-8

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